Updated

Chevy Chase said Monday he wants Tina Fey to go "even harder" on Republican vice presidential nominee Sarah Palin than she did in her "Saturday Night Live" skit this past weekend ... and that he wants Fey to "decimate" her.

"I thought it was extraordinary how well she played her and much she looked like her. I'd just like her — personally I felt we didn't need the Hillary stuff — I'd like her to go even harder," the former "SNL" star told MSNBC's "Morning Joe" show.

"I want her to decimate this woman. This woman is, I can't believe there hasn't been more about it. ... It's just unbelievable to me this woman is actually running for vice president," he continued.

Click here to see the Chase interview.

Meanwhile, Republican presidential candidate John McCain's adviser Carly Fiorina said she found Fey's portrait "very dismissive" of Palin.

"The portrait was very dismissive of the substance of Sarah Palin, and so in that sense, they were defining Hillary Clinton as very substantive, and Sarah Palin as totally superficial," Fiorina told MSNBC anchor Andrea Mitchell.

"Just because Sarah Palin has different views than Hillary Clinton does not mean that she lacks substance," Fiorina said. "She has a lot of substance."

Click here to see the Fiorina interview.

In the skit, Amy Poehler, playing Hillary Clinton, compares her campaign to Palin's.

"I didn't want a woman to be president," Poehler said. "I wanted to be president and I just happen to be a woman... I scratched and clawed through mud and barbed wire and you just glided in on a dog sled wearing your pageant sash and your Tina Fey glasses."

Palin, for her part, was amused by Fey's impression of her, especially as she once dressed up as Fey for Halloween.

"She thought it was quite funny, particularly because she once dressed up as Tina Fey for Halloween," her spokeswoman Tracey Schmitt said, according to CBS News. Fey bears a much-remarked-upon resemblance to Palin, and they wear similar glasses.

In the skit, Fey appeared with Poehler and the two talked about sexism in the media and their own ideas about politics. "I don't agree with the Bush doctrine," Poehler said at one point.

"I don't know what that is," Fey responded, poking fun at the recent Charlie Gibson interview in which some said Palin appeared to be unfamiliar with the Bush doctrine on terrorism.

Click here to see the 'SNL' skit.

In preliminary numbers measuring major U.S. cities, "SNL's" 34th-season premiere logged a 7.4 rating and 18 percent share of audience — the largest viewership for a "SNL" season debut since 2001, and up 64 percent from last year's opener, according to Nielsen Media Research.

So will Fey, who stars in NBC's weekly prime-time comedy "30 Rock," return to play Palin again?

"We are taking it day-by-day," Marc Liepis, a spokesman for "SNL," said on Monday.

Could she be back as soon as this Saturday's show?

"We don't even have a script written yet," Liepis replied.

The Associated Press contributed to this report.

Click here to read more on this story from CBS News.